v3.26.1
Cover - USD ($)
 8 Months Ended
Dec. 31, 2025
Mar. 20, 2026
Jun. 30, 2025
Document Type 10-K    
Amendment Flag false    
Document Annual Report true    
Document Transition Report false    
Document Period End Date Dec. 31, 2025    
Document Fiscal Period Focus FY    
Document Fiscal Year Focus 2025    
Current Fiscal Year End Date --12-31    
Entity File Number 001-42891    
Entity Registrant Name AI Infrastructure Acquisition Corp.    
Entity Central Index Key 0002073553    
Entity Tax Identification Number 00-0000000    
Entity Incorporation, State or Country Code E9    
Entity Address, Address Line One 10845 Griffith Peak Drive    
Entity Address, Address Line Two Suite 200    
Entity Address, City or Town Las Vegas    
Entity Address, State or Province NV    
Entity Address, Postal Zip Code 89135    
City Area Code (702)    
Local Phone Number 747-4000    
Entity Well-known Seasoned Issuer No    
Entity Voluntary Filers No    
Entity Current Reporting Status Yes    
Entity Interactive Data Current Yes    
Entity Filer Category Non-accelerated Filer    
Entity Small Business true    
Entity Emerging Growth Company true    
Elected Not To Use the Extended Transition Period false    
Entity Shell Company true    
Entity Public Float     $ 0
Inception date May 13, 2025    
ICFR Auditor Attestation Flag false    
Document Financial Statement Error Correction [Flag] false    
Auditor Firm ID 400    
Auditor Opinion [Text Block] We have audited the accompanying balance sheet of AI Infrastructure Acquisition Corp. (the “Company”) as of December 31, 2025, and the related statements of income, changes in shareholders’ equity, and cash flows for the period from May 13, 2025 (inception) through December 31, 2025, and the related notes (collectively referred to as the “financial statements”). In our opinion, the financial statements referred to above present fairly, in all material respects, the financial position of the Company as of December 31, 2025, and the results of its operations and its cash flows for the period from May 13, 2025 (inception) through December 31, 2025, in conformity with accounting principles generally accepted in the United States of America.    
Auditor Name HACKER, JOHNSON & SMITH PA    
Auditor Location Tampa, Florida    
Units, each consisting of one Class A ordinary share and one right [Member]      
Title of 12(b) Security Units, each consisting of one Class A ordinary share and one right    
Trading Symbol AIIA U    
Security Exchange Name NYSE    
Class A ordinary shares, par value $0.0001 per share [Member]      
Title of 12(b) Security Class A ordinary shares, par value $0.0001 per share    
Trading Symbol AIIA    
Security Exchange Name NYSE    
Rights, each right entitling the holder to receive one-fifth (1/5) of one Class A ordinary share {Member]      
Title of 12(b) Security Rights, each right entitling the holder to receive one-fifth (1/5) of one Class A ordinary share    
Trading Symbol AIIA R    
Security Exchange Name NYSE    
Common Class A [Member]      
Entity Common Stock, Shares Outstanding   14,690,000  
Common Class B [Member]      
Entity Common Stock, Shares Outstanding   4,600,000